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math.RT2024
Categories of generalized thread quivers
Charles Paquette, Job Daisie Rock, Emine Yıldırım
We study the representation category of thread quivers and their quotients. A thread quiver is a quiver in which some arrows have been replaced by totally ordered sets. Pointwise f…
math.RT2024
Hom-orthogonal modules and brick-Brauer-Thrall conjectures
Kaveh Mousavand, Charles Paquette
For finite dimensional algebras over algebraically closed fields, we study the sets of pairwise Hom-orthogonal modules and obtain new results on some open conjectures on the behavi…